156k views
2 votes
The sum of three numbers is 101. The second number is 4 more than two times the first number. The third number is 5 less than three times the first number. Find the three numbers.​

1 Answer

3 votes

Answer:

Step-by-step explanation:

Given

Let the first number = x

Let the second number = 2x + 4

Let the third number = 3x -5

The sum of the three numbers = 101

Equation

x + 2x + 4 + 3x - 5 = 101 Combine like terms on the left

x + 2x + 3x + 4 - 5 = 101 Combine

6x - 1 = 101 Add 1 to both sides

6x = 101 + 1

6x = 102 Divide by 6

6x/6 = 102/6

x = 17

Answer

The first number = 17

The second number = 2*17 + 4 = 34 + 4 = 38

The Third number = 3*17 - 5 = 51 - 5 = 46

Check

17 + 38 + 46 = 101

User Nifriz
by
8.1k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories